{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# NumPy: the absolute basics for beginners",
   "id": "a573c8fc439de8d4"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Array fundamentals",
   "id": "69a749f5d9119aa2"
  },
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.566811Z",
     "start_time": "2024-09-27T14:40:59.563963Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "\n",
    "a = np.array([[1, 2, 3],\n",
    "              [4, 5, 6]])\n",
    "a.shape"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 3)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 10
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.661147Z",
     "start_time": "2024-09-27T14:40:59.658759Z"
    }
   },
   "cell_type": "code",
   "source": [
    "a = np.array([1, 2, 3, 4, 5, 6])\n",
    "a"
   ],
   "id": "4c8fd84bb66ba284",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3, 4, 5, 6])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 11
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.730185Z",
     "start_time": "2024-09-27T14:40:59.727678Z"
    }
   },
   "cell_type": "code",
   "source": "a[0]",
   "id": "e901fd957125adf0",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.int64(1)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 12
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.779201Z",
     "start_time": "2024-09-27T14:40:59.776768Z"
    }
   },
   "cell_type": "code",
   "source": [
    "a[0] = 10\n",
    "a"
   ],
   "id": "aa625fcde5b9b5d4",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10,  2,  3,  4,  5,  6])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 13
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.792513Z",
     "start_time": "2024-09-27T14:40:59.790477Z"
    }
   },
   "cell_type": "code",
   "source": "a[:3]",
   "id": "11d019b7cbba4303",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10,  2,  3])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 14
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.808938Z",
     "start_time": "2024-09-27T14:40:59.806802Z"
    }
   },
   "cell_type": "code",
   "source": [
    "b = a[3:]\n",
    "b"
   ],
   "id": "d96509e98ea671cf",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4, 5, 6])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 15
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.820039Z",
     "start_time": "2024-09-27T14:40:59.817864Z"
    }
   },
   "cell_type": "code",
   "source": [
    "b[0] = 40\n",
    "a"
   ],
   "id": "d00af227459d6120",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10,  2,  3, 40,  5,  6])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 16
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.831868Z",
     "start_time": "2024-09-27T14:40:59.829676Z"
    }
   },
   "cell_type": "code",
   "source": [
    "a = np.array([[1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12]])\n",
    "a"
   ],
   "id": "f8e60e47385bdbd8",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1,  2,  3,  4],\n",
       "       [ 5,  6,  7,  8],\n",
       "       [ 9, 10, 11, 12]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 17
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.851393Z",
     "start_time": "2024-09-27T14:40:59.849347Z"
    }
   },
   "cell_type": "code",
   "source": "a[1, 3]",
   "id": "fd70d0c721bab777",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "np.int64(8)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 18
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Printing Array",
   "id": "831431ee460da064"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:40:59.874805Z",
     "start_time": "2024-09-27T14:40:59.872603Z"
    }
   },
   "cell_type": "code",
   "source": "print(np.arange(10000).reshape(100, 100))",
   "id": "d8822aa0e7183757",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[   0    1    2 ...   97   98   99]\n",
      " [ 100  101  102 ...  197  198  199]\n",
      " [ 200  201  202 ...  297  298  299]\n",
      " ...\n",
      " [9700 9701 9702 ... 9797 9798 9799]\n",
      " [9800 9801 9802 ... 9897 9898 9899]\n",
      " [9900 9901 9902 ... 9997 9998 9999]]\n"
     ]
    }
   ],
   "execution_count": 19
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:41:58.097286Z",
     "start_time": "2024-09-27T14:41:58.094385Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import sys\n",
    "np.set_printoptions(threshold=sys.maxsize)"
   ],
   "id": "206e7303b999999f",
   "outputs": [],
   "execution_count": 20
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:42:12.019375Z",
     "start_time": "2024-09-27T14:42:12.003300Z"
    }
   },
   "cell_type": "code",
   "source": "print(np.arange(10000).reshape(100, 100))",
   "id": "a062488d060a9b2f",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[   0    1    2    3    4    5    6    7    8    9   10   11   12   13\n",
      "    14   15   16   17   18   19   20   21   22   23   24   25   26   27\n",
      "    28   29   30   31   32   33   34   35   36   37   38   39   40   41\n",
      "    42   43   44   45   46   47   48   49   50   51   52   53   54   55\n",
      "    56   57   58   59   60   61   62   63   64   65   66   67   68   69\n",
      "    70   71   72   73   74   75   76   77   78   79   80   81   82   83\n",
      "    84   85   86   87   88   89   90   91   92   93   94   95   96   97\n",
      "    98   99]\n",
      " [ 100  101  102  103  104  105  106  107  108  109  110  111  112  113\n",
      "   114  115  116  117  118  119  120  121  122  123  124  125  126  127\n",
      "   128  129  130  131  132  133  134  135  136  137  138  139  140  141\n",
      "   142  143  144  145  146  147  148  149  150  151  152  153  154  155\n",
      "   156  157  158  159  160  161  162  163  164  165  166  167  168  169\n",
      "   170  171  172  173  174  175  176  177  178  179  180  181  182  183\n",
      "   184  185  186  187  188  189  190  191  192  193  194  195  196  197\n",
      "   198  199]\n",
      " [ 200  201  202  203  204  205  206  207  208  209  210  211  212  213\n",
      "   214  215  216  217  218  219  220  221  222  223  224  225  226  227\n",
      "   228  229  230  231  232  233  234  235  236  237  238  239  240  241\n",
      "   242  243  244  245  246  247  248  249  250  251  252  253  254  255\n",
      "   256  257  258  259  260  261  262  263  264  265  266  267  268  269\n",
      "   270  271  272  273  274  275  276  277  278  279  280  281  282  283\n",
      "   284  285  286  287  288  289  290  291  292  293  294  295  296  297\n",
      "   298  299]\n",
      " [ 300  301  302  303  304  305  306  307  308  309  310  311  312  313\n",
      "   314  315  316  317  318  319  320  321  322  323  324  325  326  327\n",
      "   328  329  330  331  332  333  334  335  336  337  338  339  340  341\n",
      "   342  343  344  345  346  347  348  349  350  351  352  353  354  355\n",
      "   356  357  358  359  360  361  362  363  364  365  366  367  368  369\n",
      "   370  371  372  373  374  375  376  377  378  379  380  381  382  383\n",
      "   384  385  386  387  388  389  390  391  392  393  394  395  396  397\n",
      "   398  399]\n",
      " [ 400  401  402  403  404  405  406  407  408  409  410  411  412  413\n",
      "   414  415  416  417  418  419  420  421  422  423  424  425  426  427\n",
      "   428  429  430  431  432  433  434  435  436  437  438  439  440  441\n",
      "   442  443  444  445  446  447  448  449  450  451  452  453  454  455\n",
      "   456  457  458  459  460  461  462  463  464  465  466  467  468  469\n",
      "   470  471  472  473  474  475  476  477  478  479  480  481  482  483\n",
      "   484  485  486  487  488  489  490  491  492  493  494  495  496  497\n",
      "   498  499]\n",
      " [ 500  501  502  503  504  505  506  507  508  509  510  511  512  513\n",
      "   514  515  516  517  518  519  520  521  522  523  524  525  526  527\n",
      "   528  529  530  531  532  533  534  535  536  537  538  539  540  541\n",
      "   542  543  544  545  546  547  548  549  550  551  552  553  554  555\n",
      "   556  557  558  559  560  561  562  563  564  565  566  567  568  569\n",
      "   570  571  572  573  574  575  576  577  578  579  580  581  582  583\n",
      "   584  585  586  587  588  589  590  591  592  593  594  595  596  597\n",
      "   598  599]\n",
      " [ 600  601  602  603  604  605  606  607  608  609  610  611  612  613\n",
      "   614  615  616  617  618  619  620  621  622  623  624  625  626  627\n",
      "   628  629  630  631  632  633  634  635  636  637  638  639  640  641\n",
      "   642  643  644  645  646  647  648  649  650  651  652  653  654  655\n",
      "   656  657  658  659  660  661  662  663  664  665  666  667  668  669\n",
      "   670  671  672  673  674  675  676  677  678  679  680  681  682  683\n",
      "   684  685  686  687  688  689  690  691  692  693  694  695  696  697\n",
      "   698  699]\n",
      " [ 700  701  702  703  704  705  706  707  708  709  710  711  712  713\n",
      "   714  715  716  717  718  719  720  721  722  723  724  725  726  727\n",
      "   728  729  730  731  732  733  734  735  736  737  738  739  740  741\n",
      "   742  743  744  745  746  747  748  749  750  751  752  753  754  755\n",
      "   756  757  758  759  760  761  762  763  764  765  766  767  768  769\n",
      "   770  771  772  773  774  775  776  777  778  779  780  781  782  783\n",
      "   784  785  786  787  788  789  790  791  792  793  794  795  796  797\n",
      "   798  799]\n",
      " [ 800  801  802  803  804  805  806  807  808  809  810  811  812  813\n",
      "   814  815  816  817  818  819  820  821  822  823  824  825  826  827\n",
      "   828  829  830  831  832  833  834  835  836  837  838  839  840  841\n",
      "   842  843  844  845  846  847  848  849  850  851  852  853  854  855\n",
      "   856  857  858  859  860  861  862  863  864  865  866  867  868  869\n",
      "   870  871  872  873  874  875  876  877  878  879  880  881  882  883\n",
      "   884  885  886  887  888  889  890  891  892  893  894  895  896  897\n",
      "   898  899]\n",
      " [ 900  901  902  903  904  905  906  907  908  909  910  911  912  913\n",
      "   914  915  916  917  918  919  920  921  922  923  924  925  926  927\n",
      "   928  929  930  931  932  933  934  935  936  937  938  939  940  941\n",
      "   942  943  944  945  946  947  948  949  950  951  952  953  954  955\n",
      "   956  957  958  959  960  961  962  963  964  965  966  967  968  969\n",
      "   970  971  972  973  974  975  976  977  978  979  980  981  982  983\n",
      "   984  985  986  987  988  989  990  991  992  993  994  995  996  997\n",
      "   998  999]\n",
      " [1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013\n",
      "  1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027\n",
      "  1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041\n",
      "  1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055\n",
      "  1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069\n",
      "  1070 1071 1072 1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083\n",
      "  1084 1085 1086 1087 1088 1089 1090 1091 1092 1093 1094 1095 1096 1097\n",
      "  1098 1099]\n",
      " [1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113\n",
      "  1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127\n",
      "  1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141\n",
      "  1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155\n",
      "  1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169\n",
      "  1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183\n",
      "  1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197\n",
      "  1198 1199]\n",
      " [1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213\n",
      "  1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227\n",
      "  1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241\n",
      "  1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255\n",
      "  1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269\n",
      "  1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283\n",
      "  1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297\n",
      "  1298 1299]\n",
      " [1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313\n",
      "  1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327\n",
      "  1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341\n",
      "  1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355\n",
      "  1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369\n",
      "  1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383\n",
      "  1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397\n",
      "  1398 1399]\n",
      " [1400 1401 1402 1403 1404 1405 1406 1407 1408 1409 1410 1411 1412 1413\n",
      "  1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424 1425 1426 1427\n",
      "  1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440 1441\n",
      "  1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455\n",
      "  1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469\n",
      "  1470 1471 1472 1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483\n",
      "  1484 1485 1486 1487 1488 1489 1490 1491 1492 1493 1494 1495 1496 1497\n",
      "  1498 1499]\n",
      " [1500 1501 1502 1503 1504 1505 1506 1507 1508 1509 1510 1511 1512 1513\n",
      "  1514 1515 1516 1517 1518 1519 1520 1521 1522 1523 1524 1525 1526 1527\n",
      "  1528 1529 1530 1531 1532 1533 1534 1535 1536 1537 1538 1539 1540 1541\n",
      "  1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552 1553 1554 1555\n",
      "  1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568 1569\n",
      "  1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583\n",
      "  1584 1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597\n",
      "  1598 1599]\n",
      " [1600 1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613\n",
      "  1614 1615 1616 1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627\n",
      "  1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641\n",
      "  1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655\n",
      "  1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669\n",
      "  1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683\n",
      "  1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697\n",
      "  1698 1699]\n",
      " [1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713\n",
      "  1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727\n",
      "  1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741\n",
      "  1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755\n",
      "  1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769\n",
      "  1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783\n",
      "  1784 1785 1786 1787 1788 1789 1790 1791 1792 1793 1794 1795 1796 1797\n",
      "  1798 1799]\n",
      " [1800 1801 1802 1803 1804 1805 1806 1807 1808 1809 1810 1811 1812 1813\n",
      "  1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824 1825 1826 1827\n",
      "  1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840 1841\n",
      "  1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855\n",
      "  1856 1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869\n",
      "  1870 1871 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883\n",
      "  1884 1885 1886 1887 1888 1889 1890 1891 1892 1893 1894 1895 1896 1897\n",
      "  1898 1899]\n",
      " [1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913\n",
      "  1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927\n",
      "  1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941\n",
      "  1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955\n",
      "  1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969\n",
      "  1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983\n",
      "  1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997\n",
      "  1998 1999]\n",
      " [2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013\n",
      "  2014 2015 2016 2017 2018 2019 2020 2021 2022 2023 2024 2025 2026 2027\n",
      "  2028 2029 2030 2031 2032 2033 2034 2035 2036 2037 2038 2039 2040 2041\n",
      "  2042 2043 2044 2045 2046 2047 2048 2049 2050 2051 2052 2053 2054 2055\n",
      "  2056 2057 2058 2059 2060 2061 2062 2063 2064 2065 2066 2067 2068 2069\n",
      "  2070 2071 2072 2073 2074 2075 2076 2077 2078 2079 2080 2081 2082 2083\n",
      "  2084 2085 2086 2087 2088 2089 2090 2091 2092 2093 2094 2095 2096 2097\n",
      "  2098 2099]\n",
      " [2100 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113\n",
      "  2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127\n",
      "  2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141\n",
      "  2142 2143 2144 2145 2146 2147 2148 2149 2150 2151 2152 2153 2154 2155\n",
      "  2156 2157 2158 2159 2160 2161 2162 2163 2164 2165 2166 2167 2168 2169\n",
      "  2170 2171 2172 2173 2174 2175 2176 2177 2178 2179 2180 2181 2182 2183\n",
      "  2184 2185 2186 2187 2188 2189 2190 2191 2192 2193 2194 2195 2196 2197\n",
      "  2198 2199]\n",
      " [2200 2201 2202 2203 2204 2205 2206 2207 2208 2209 2210 2211 2212 2213\n",
      "  2214 2215 2216 2217 2218 2219 2220 2221 2222 2223 2224 2225 2226 2227\n",
      "  2228 2229 2230 2231 2232 2233 2234 2235 2236 2237 2238 2239 2240 2241\n",
      "  2242 2243 2244 2245 2246 2247 2248 2249 2250 2251 2252 2253 2254 2255\n",
      "  2256 2257 2258 2259 2260 2261 2262 2263 2264 2265 2266 2267 2268 2269\n",
      "  2270 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283\n",
      "  2284 2285 2286 2287 2288 2289 2290 2291 2292 2293 2294 2295 2296 2297\n",
      "  2298 2299]\n",
      " [2300 2301 2302 2303 2304 2305 2306 2307 2308 2309 2310 2311 2312 2313\n",
      "  2314 2315 2316 2317 2318 2319 2320 2321 2322 2323 2324 2325 2326 2327\n",
      "  2328 2329 2330 2331 2332 2333 2334 2335 2336 2337 2338 2339 2340 2341\n",
      "  2342 2343 2344 2345 2346 2347 2348 2349 2350 2351 2352 2353 2354 2355\n",
      "  2356 2357 2358 2359 2360 2361 2362 2363 2364 2365 2366 2367 2368 2369\n",
      "  2370 2371 2372 2373 2374 2375 2376 2377 2378 2379 2380 2381 2382 2383\n",
      "  2384 2385 2386 2387 2388 2389 2390 2391 2392 2393 2394 2395 2396 2397\n",
      "  2398 2399]\n",
      " [2400 2401 2402 2403 2404 2405 2406 2407 2408 2409 2410 2411 2412 2413\n",
      "  2414 2415 2416 2417 2418 2419 2420 2421 2422 2423 2424 2425 2426 2427\n",
      "  2428 2429 2430 2431 2432 2433 2434 2435 2436 2437 2438 2439 2440 2441\n",
      "  2442 2443 2444 2445 2446 2447 2448 2449 2450 2451 2452 2453 2454 2455\n",
      "  2456 2457 2458 2459 2460 2461 2462 2463 2464 2465 2466 2467 2468 2469\n",
      "  2470 2471 2472 2473 2474 2475 2476 2477 2478 2479 2480 2481 2482 2483\n",
      "  2484 2485 2486 2487 2488 2489 2490 2491 2492 2493 2494 2495 2496 2497\n",
      "  2498 2499]\n",
      " [2500 2501 2502 2503 2504 2505 2506 2507 2508 2509 2510 2511 2512 2513\n",
      "  2514 2515 2516 2517 2518 2519 2520 2521 2522 2523 2524 2525 2526 2527\n",
      "  2528 2529 2530 2531 2532 2533 2534 2535 2536 2537 2538 2539 2540 2541\n",
      "  2542 2543 2544 2545 2546 2547 2548 2549 2550 2551 2552 2553 2554 2555\n",
      "  2556 2557 2558 2559 2560 2561 2562 2563 2564 2565 2566 2567 2568 2569\n",
      "  2570 2571 2572 2573 2574 2575 2576 2577 2578 2579 2580 2581 2582 2583\n",
      "  2584 2585 2586 2587 2588 2589 2590 2591 2592 2593 2594 2595 2596 2597\n",
      "  2598 2599]\n",
      " [2600 2601 2602 2603 2604 2605 2606 2607 2608 2609 2610 2611 2612 2613\n",
      "  2614 2615 2616 2617 2618 2619 2620 2621 2622 2623 2624 2625 2626 2627\n",
      "  2628 2629 2630 2631 2632 2633 2634 2635 2636 2637 2638 2639 2640 2641\n",
      "  2642 2643 2644 2645 2646 2647 2648 2649 2650 2651 2652 2653 2654 2655\n",
      "  2656 2657 2658 2659 2660 2661 2662 2663 2664 2665 2666 2667 2668 2669\n",
      "  2670 2671 2672 2673 2674 2675 2676 2677 2678 2679 2680 2681 2682 2683\n",
      "  2684 2685 2686 2687 2688 2689 2690 2691 2692 2693 2694 2695 2696 2697\n",
      "  2698 2699]\n",
      " [2700 2701 2702 2703 2704 2705 2706 2707 2708 2709 2710 2711 2712 2713\n",
      "  2714 2715 2716 2717 2718 2719 2720 2721 2722 2723 2724 2725 2726 2727\n",
      "  2728 2729 2730 2731 2732 2733 2734 2735 2736 2737 2738 2739 2740 2741\n",
      "  2742 2743 2744 2745 2746 2747 2748 2749 2750 2751 2752 2753 2754 2755\n",
      "  2756 2757 2758 2759 2760 2761 2762 2763 2764 2765 2766 2767 2768 2769\n",
      "  2770 2771 2772 2773 2774 2775 2776 2777 2778 2779 2780 2781 2782 2783\n",
      "  2784 2785 2786 2787 2788 2789 2790 2791 2792 2793 2794 2795 2796 2797\n",
      "  2798 2799]\n",
      " [2800 2801 2802 2803 2804 2805 2806 2807 2808 2809 2810 2811 2812 2813\n",
      "  2814 2815 2816 2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 2827\n",
      "  2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841\n",
      "  2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855\n",
      "  2856 2857 2858 2859 2860 2861 2862 2863 2864 2865 2866 2867 2868 2869\n",
      "  2870 2871 2872 2873 2874 2875 2876 2877 2878 2879 2880 2881 2882 2883\n",
      "  2884 2885 2886 2887 2888 2889 2890 2891 2892 2893 2894 2895 2896 2897\n",
      "  2898 2899]\n",
      " [2900 2901 2902 2903 2904 2905 2906 2907 2908 2909 2910 2911 2912 2913\n",
      "  2914 2915 2916 2917 2918 2919 2920 2921 2922 2923 2924 2925 2926 2927\n",
      "  2928 2929 2930 2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941\n",
      "  2942 2943 2944 2945 2946 2947 2948 2949 2950 2951 2952 2953 2954 2955\n",
      "  2956 2957 2958 2959 2960 2961 2962 2963 2964 2965 2966 2967 2968 2969\n",
      "  2970 2971 2972 2973 2974 2975 2976 2977 2978 2979 2980 2981 2982 2983\n",
      "  2984 2985 2986 2987 2988 2989 2990 2991 2992 2993 2994 2995 2996 2997\n",
      "  2998 2999]\n",
      " [3000 3001 3002 3003 3004 3005 3006 3007 3008 3009 3010 3011 3012 3013\n",
      "  3014 3015 3016 3017 3018 3019 3020 3021 3022 3023 3024 3025 3026 3027\n",
      "  3028 3029 3030 3031 3032 3033 3034 3035 3036 3037 3038 3039 3040 3041\n",
      "  3042 3043 3044 3045 3046 3047 3048 3049 3050 3051 3052 3053 3054 3055\n",
      "  3056 3057 3058 3059 3060 3061 3062 3063 3064 3065 3066 3067 3068 3069\n",
      "  3070 3071 3072 3073 3074 3075 3076 3077 3078 3079 3080 3081 3082 3083\n",
      "  3084 3085 3086 3087 3088 3089 3090 3091 3092 3093 3094 3095 3096 3097\n",
      "  3098 3099]\n",
      " [3100 3101 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111 3112 3113\n",
      "  3114 3115 3116 3117 3118 3119 3120 3121 3122 3123 3124 3125 3126 3127\n",
      "  3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139 3140 3141\n",
      "  3142 3143 3144 3145 3146 3147 3148 3149 3150 3151 3152 3153 3154 3155\n",
      "  3156 3157 3158 3159 3160 3161 3162 3163 3164 3165 3166 3167 3168 3169\n",
      "  3170 3171 3172 3173 3174 3175 3176 3177 3178 3179 3180 3181 3182 3183\n",
      "  3184 3185 3186 3187 3188 3189 3190 3191 3192 3193 3194 3195 3196 3197\n",
      "  3198 3199]\n",
      " [3200 3201 3202 3203 3204 3205 3206 3207 3208 3209 3210 3211 3212 3213\n",
      "  3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225 3226 3227\n",
      "  3228 3229 3230 3231 3232 3233 3234 3235 3236 3237 3238 3239 3240 3241\n",
      "  3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255\n",
      "  3256 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268 3269\n",
      "  3270 3271 3272 3273 3274 3275 3276 3277 3278 3279 3280 3281 3282 3283\n",
      "  3284 3285 3286 3287 3288 3289 3290 3291 3292 3293 3294 3295 3296 3297\n",
      "  3298 3299]\n",
      " [3300 3301 3302 3303 3304 3305 3306 3307 3308 3309 3310 3311 3312 3313\n",
      "  3314 3315 3316 3317 3318 3319 3320 3321 3322 3323 3324 3325 3326 3327\n",
      "  3328 3329 3330 3331 3332 3333 3334 3335 3336 3337 3338 3339 3340 3341\n",
      "  3342 3343 3344 3345 3346 3347 3348 3349 3350 3351 3352 3353 3354 3355\n",
      "  3356 3357 3358 3359 3360 3361 3362 3363 3364 3365 3366 3367 3368 3369\n",
      "  3370 3371 3372 3373 3374 3375 3376 3377 3378 3379 3380 3381 3382 3383\n",
      "  3384 3385 3386 3387 3388 3389 3390 3391 3392 3393 3394 3395 3396 3397\n",
      "  3398 3399]\n",
      " [3400 3401 3402 3403 3404 3405 3406 3407 3408 3409 3410 3411 3412 3413\n",
      "  3414 3415 3416 3417 3418 3419 3420 3421 3422 3423 3424 3425 3426 3427\n",
      "  3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441\n",
      "  3442 3443 3444 3445 3446 3447 3448 3449 3450 3451 3452 3453 3454 3455\n",
      "  3456 3457 3458 3459 3460 3461 3462 3463 3464 3465 3466 3467 3468 3469\n",
      "  3470 3471 3472 3473 3474 3475 3476 3477 3478 3479 3480 3481 3482 3483\n",
      "  3484 3485 3486 3487 3488 3489 3490 3491 3492 3493 3494 3495 3496 3497\n",
      "  3498 3499]\n",
      " [3500 3501 3502 3503 3504 3505 3506 3507 3508 3509 3510 3511 3512 3513\n",
      "  3514 3515 3516 3517 3518 3519 3520 3521 3522 3523 3524 3525 3526 3527\n",
      "  3528 3529 3530 3531 3532 3533 3534 3535 3536 3537 3538 3539 3540 3541\n",
      "  3542 3543 3544 3545 3546 3547 3548 3549 3550 3551 3552 3553 3554 3555\n",
      "  3556 3557 3558 3559 3560 3561 3562 3563 3564 3565 3566 3567 3568 3569\n",
      "  3570 3571 3572 3573 3574 3575 3576 3577 3578 3579 3580 3581 3582 3583\n",
      "  3584 3585 3586 3587 3588 3589 3590 3591 3592 3593 3594 3595 3596 3597\n",
      "  3598 3599]\n",
      " [3600 3601 3602 3603 3604 3605 3606 3607 3608 3609 3610 3611 3612 3613\n",
      "  3614 3615 3616 3617 3618 3619 3620 3621 3622 3623 3624 3625 3626 3627\n",
      "  3628 3629 3630 3631 3632 3633 3634 3635 3636 3637 3638 3639 3640 3641\n",
      "  3642 3643 3644 3645 3646 3647 3648 3649 3650 3651 3652 3653 3654 3655\n",
      "  3656 3657 3658 3659 3660 3661 3662 3663 3664 3665 3666 3667 3668 3669\n",
      "  3670 3671 3672 3673 3674 3675 3676 3677 3678 3679 3680 3681 3682 3683\n",
      "  3684 3685 3686 3687 3688 3689 3690 3691 3692 3693 3694 3695 3696 3697\n",
      "  3698 3699]\n",
      " [3700 3701 3702 3703 3704 3705 3706 3707 3708 3709 3710 3711 3712 3713\n",
      "  3714 3715 3716 3717 3718 3719 3720 3721 3722 3723 3724 3725 3726 3727\n",
      "  3728 3729 3730 3731 3732 3733 3734 3735 3736 3737 3738 3739 3740 3741\n",
      "  3742 3743 3744 3745 3746 3747 3748 3749 3750 3751 3752 3753 3754 3755\n",
      "  3756 3757 3758 3759 3760 3761 3762 3763 3764 3765 3766 3767 3768 3769\n",
      "  3770 3771 3772 3773 3774 3775 3776 3777 3778 3779 3780 3781 3782 3783\n",
      "  3784 3785 3786 3787 3788 3789 3790 3791 3792 3793 3794 3795 3796 3797\n",
      "  3798 3799]\n",
      " [3800 3801 3802 3803 3804 3805 3806 3807 3808 3809 3810 3811 3812 3813\n",
      "  3814 3815 3816 3817 3818 3819 3820 3821 3822 3823 3824 3825 3826 3827\n",
      "  3828 3829 3830 3831 3832 3833 3834 3835 3836 3837 3838 3839 3840 3841\n",
      "  3842 3843 3844 3845 3846 3847 3848 3849 3850 3851 3852 3853 3854 3855\n",
      "  3856 3857 3858 3859 3860 3861 3862 3863 3864 3865 3866 3867 3868 3869\n",
      "  3870 3871 3872 3873 3874 3875 3876 3877 3878 3879 3880 3881 3882 3883\n",
      "  3884 3885 3886 3887 3888 3889 3890 3891 3892 3893 3894 3895 3896 3897\n",
      "  3898 3899]\n",
      " [3900 3901 3902 3903 3904 3905 3906 3907 3908 3909 3910 3911 3912 3913\n",
      "  3914 3915 3916 3917 3918 3919 3920 3921 3922 3923 3924 3925 3926 3927\n",
      "  3928 3929 3930 3931 3932 3933 3934 3935 3936 3937 3938 3939 3940 3941\n",
      "  3942 3943 3944 3945 3946 3947 3948 3949 3950 3951 3952 3953 3954 3955\n",
      "  3956 3957 3958 3959 3960 3961 3962 3963 3964 3965 3966 3967 3968 3969\n",
      "  3970 3971 3972 3973 3974 3975 3976 3977 3978 3979 3980 3981 3982 3983\n",
      "  3984 3985 3986 3987 3988 3989 3990 3991 3992 3993 3994 3995 3996 3997\n",
      "  3998 3999]\n",
      " [4000 4001 4002 4003 4004 4005 4006 4007 4008 4009 4010 4011 4012 4013\n",
      "  4014 4015 4016 4017 4018 4019 4020 4021 4022 4023 4024 4025 4026 4027\n",
      "  4028 4029 4030 4031 4032 4033 4034 4035 4036 4037 4038 4039 4040 4041\n",
      "  4042 4043 4044 4045 4046 4047 4048 4049 4050 4051 4052 4053 4054 4055\n",
      "  4056 4057 4058 4059 4060 4061 4062 4063 4064 4065 4066 4067 4068 4069\n",
      "  4070 4071 4072 4073 4074 4075 4076 4077 4078 4079 4080 4081 4082 4083\n",
      "  4084 4085 4086 4087 4088 4089 4090 4091 4092 4093 4094 4095 4096 4097\n",
      "  4098 4099]\n",
      " [4100 4101 4102 4103 4104 4105 4106 4107 4108 4109 4110 4111 4112 4113\n",
      "  4114 4115 4116 4117 4118 4119 4120 4121 4122 4123 4124 4125 4126 4127\n",
      "  4128 4129 4130 4131 4132 4133 4134 4135 4136 4137 4138 4139 4140 4141\n",
      "  4142 4143 4144 4145 4146 4147 4148 4149 4150 4151 4152 4153 4154 4155\n",
      "  4156 4157 4158 4159 4160 4161 4162 4163 4164 4165 4166 4167 4168 4169\n",
      "  4170 4171 4172 4173 4174 4175 4176 4177 4178 4179 4180 4181 4182 4183\n",
      "  4184 4185 4186 4187 4188 4189 4190 4191 4192 4193 4194 4195 4196 4197\n",
      "  4198 4199]\n",
      " [4200 4201 4202 4203 4204 4205 4206 4207 4208 4209 4210 4211 4212 4213\n",
      "  4214 4215 4216 4217 4218 4219 4220 4221 4222 4223 4224 4225 4226 4227\n",
      "  4228 4229 4230 4231 4232 4233 4234 4235 4236 4237 4238 4239 4240 4241\n",
      "  4242 4243 4244 4245 4246 4247 4248 4249 4250 4251 4252 4253 4254 4255\n",
      "  4256 4257 4258 4259 4260 4261 4262 4263 4264 4265 4266 4267 4268 4269\n",
      "  4270 4271 4272 4273 4274 4275 4276 4277 4278 4279 4280 4281 4282 4283\n",
      "  4284 4285 4286 4287 4288 4289 4290 4291 4292 4293 4294 4295 4296 4297\n",
      "  4298 4299]\n",
      " [4300 4301 4302 4303 4304 4305 4306 4307 4308 4309 4310 4311 4312 4313\n",
      "  4314 4315 4316 4317 4318 4319 4320 4321 4322 4323 4324 4325 4326 4327\n",
      "  4328 4329 4330 4331 4332 4333 4334 4335 4336 4337 4338 4339 4340 4341\n",
      "  4342 4343 4344 4345 4346 4347 4348 4349 4350 4351 4352 4353 4354 4355\n",
      "  4356 4357 4358 4359 4360 4361 4362 4363 4364 4365 4366 4367 4368 4369\n",
      "  4370 4371 4372 4373 4374 4375 4376 4377 4378 4379 4380 4381 4382 4383\n",
      "  4384 4385 4386 4387 4388 4389 4390 4391 4392 4393 4394 4395 4396 4397\n",
      "  4398 4399]\n",
      " [4400 4401 4402 4403 4404 4405 4406 4407 4408 4409 4410 4411 4412 4413\n",
      "  4414 4415 4416 4417 4418 4419 4420 4421 4422 4423 4424 4425 4426 4427\n",
      "  4428 4429 4430 4431 4432 4433 4434 4435 4436 4437 4438 4439 4440 4441\n",
      "  4442 4443 4444 4445 4446 4447 4448 4449 4450 4451 4452 4453 4454 4455\n",
      "  4456 4457 4458 4459 4460 4461 4462 4463 4464 4465 4466 4467 4468 4469\n",
      "  4470 4471 4472 4473 4474 4475 4476 4477 4478 4479 4480 4481 4482 4483\n",
      "  4484 4485 4486 4487 4488 4489 4490 4491 4492 4493 4494 4495 4496 4497\n",
      "  4498 4499]\n",
      " [4500 4501 4502 4503 4504 4505 4506 4507 4508 4509 4510 4511 4512 4513\n",
      "  4514 4515 4516 4517 4518 4519 4520 4521 4522 4523 4524 4525 4526 4527\n",
      "  4528 4529 4530 4531 4532 4533 4534 4535 4536 4537 4538 4539 4540 4541\n",
      "  4542 4543 4544 4545 4546 4547 4548 4549 4550 4551 4552 4553 4554 4555\n",
      "  4556 4557 4558 4559 4560 4561 4562 4563 4564 4565 4566 4567 4568 4569\n",
      "  4570 4571 4572 4573 4574 4575 4576 4577 4578 4579 4580 4581 4582 4583\n",
      "  4584 4585 4586 4587 4588 4589 4590 4591 4592 4593 4594 4595 4596 4597\n",
      "  4598 4599]\n",
      " [4600 4601 4602 4603 4604 4605 4606 4607 4608 4609 4610 4611 4612 4613\n",
      "  4614 4615 4616 4617 4618 4619 4620 4621 4622 4623 4624 4625 4626 4627\n",
      "  4628 4629 4630 4631 4632 4633 4634 4635 4636 4637 4638 4639 4640 4641\n",
      "  4642 4643 4644 4645 4646 4647 4648 4649 4650 4651 4652 4653 4654 4655\n",
      "  4656 4657 4658 4659 4660 4661 4662 4663 4664 4665 4666 4667 4668 4669\n",
      "  4670 4671 4672 4673 4674 4675 4676 4677 4678 4679 4680 4681 4682 4683\n",
      "  4684 4685 4686 4687 4688 4689 4690 4691 4692 4693 4694 4695 4696 4697\n",
      "  4698 4699]\n",
      " [4700 4701 4702 4703 4704 4705 4706 4707 4708 4709 4710 4711 4712 4713\n",
      "  4714 4715 4716 4717 4718 4719 4720 4721 4722 4723 4724 4725 4726 4727\n",
      "  4728 4729 4730 4731 4732 4733 4734 4735 4736 4737 4738 4739 4740 4741\n",
      "  4742 4743 4744 4745 4746 4747 4748 4749 4750 4751 4752 4753 4754 4755\n",
      "  4756 4757 4758 4759 4760 4761 4762 4763 4764 4765 4766 4767 4768 4769\n",
      "  4770 4771 4772 4773 4774 4775 4776 4777 4778 4779 4780 4781 4782 4783\n",
      "  4784 4785 4786 4787 4788 4789 4790 4791 4792 4793 4794 4795 4796 4797\n",
      "  4798 4799]\n",
      " [4800 4801 4802 4803 4804 4805 4806 4807 4808 4809 4810 4811 4812 4813\n",
      "  4814 4815 4816 4817 4818 4819 4820 4821 4822 4823 4824 4825 4826 4827\n",
      "  4828 4829 4830 4831 4832 4833 4834 4835 4836 4837 4838 4839 4840 4841\n",
      "  4842 4843 4844 4845 4846 4847 4848 4849 4850 4851 4852 4853 4854 4855\n",
      "  4856 4857 4858 4859 4860 4861 4862 4863 4864 4865 4866 4867 4868 4869\n",
      "  4870 4871 4872 4873 4874 4875 4876 4877 4878 4879 4880 4881 4882 4883\n",
      "  4884 4885 4886 4887 4888 4889 4890 4891 4892 4893 4894 4895 4896 4897\n",
      "  4898 4899]\n",
      " [4900 4901 4902 4903 4904 4905 4906 4907 4908 4909 4910 4911 4912 4913\n",
      "  4914 4915 4916 4917 4918 4919 4920 4921 4922 4923 4924 4925 4926 4927\n",
      "  4928 4929 4930 4931 4932 4933 4934 4935 4936 4937 4938 4939 4940 4941\n",
      "  4942 4943 4944 4945 4946 4947 4948 4949 4950 4951 4952 4953 4954 4955\n",
      "  4956 4957 4958 4959 4960 4961 4962 4963 4964 4965 4966 4967 4968 4969\n",
      "  4970 4971 4972 4973 4974 4975 4976 4977 4978 4979 4980 4981 4982 4983\n",
      "  4984 4985 4986 4987 4988 4989 4990 4991 4992 4993 4994 4995 4996 4997\n",
      "  4998 4999]\n",
      " [5000 5001 5002 5003 5004 5005 5006 5007 5008 5009 5010 5011 5012 5013\n",
      "  5014 5015 5016 5017 5018 5019 5020 5021 5022 5023 5024 5025 5026 5027\n",
      "  5028 5029 5030 5031 5032 5033 5034 5035 5036 5037 5038 5039 5040 5041\n",
      "  5042 5043 5044 5045 5046 5047 5048 5049 5050 5051 5052 5053 5054 5055\n",
      "  5056 5057 5058 5059 5060 5061 5062 5063 5064 5065 5066 5067 5068 5069\n",
      "  5070 5071 5072 5073 5074 5075 5076 5077 5078 5079 5080 5081 5082 5083\n",
      "  5084 5085 5086 5087 5088 5089 5090 5091 5092 5093 5094 5095 5096 5097\n",
      "  5098 5099]\n",
      " [5100 5101 5102 5103 5104 5105 5106 5107 5108 5109 5110 5111 5112 5113\n",
      "  5114 5115 5116 5117 5118 5119 5120 5121 5122 5123 5124 5125 5126 5127\n",
      "  5128 5129 5130 5131 5132 5133 5134 5135 5136 5137 5138 5139 5140 5141\n",
      "  5142 5143 5144 5145 5146 5147 5148 5149 5150 5151 5152 5153 5154 5155\n",
      "  5156 5157 5158 5159 5160 5161 5162 5163 5164 5165 5166 5167 5168 5169\n",
      "  5170 5171 5172 5173 5174 5175 5176 5177 5178 5179 5180 5181 5182 5183\n",
      "  5184 5185 5186 5187 5188 5189 5190 5191 5192 5193 5194 5195 5196 5197\n",
      "  5198 5199]\n",
      " [5200 5201 5202 5203 5204 5205 5206 5207 5208 5209 5210 5211 5212 5213\n",
      "  5214 5215 5216 5217 5218 5219 5220 5221 5222 5223 5224 5225 5226 5227\n",
      "  5228 5229 5230 5231 5232 5233 5234 5235 5236 5237 5238 5239 5240 5241\n",
      "  5242 5243 5244 5245 5246 5247 5248 5249 5250 5251 5252 5253 5254 5255\n",
      "  5256 5257 5258 5259 5260 5261 5262 5263 5264 5265 5266 5267 5268 5269\n",
      "  5270 5271 5272 5273 5274 5275 5276 5277 5278 5279 5280 5281 5282 5283\n",
      "  5284 5285 5286 5287 5288 5289 5290 5291 5292 5293 5294 5295 5296 5297\n",
      "  5298 5299]\n",
      " [5300 5301 5302 5303 5304 5305 5306 5307 5308 5309 5310 5311 5312 5313\n",
      "  5314 5315 5316 5317 5318 5319 5320 5321 5322 5323 5324 5325 5326 5327\n",
      "  5328 5329 5330 5331 5332 5333 5334 5335 5336 5337 5338 5339 5340 5341\n",
      "  5342 5343 5344 5345 5346 5347 5348 5349 5350 5351 5352 5353 5354 5355\n",
      "  5356 5357 5358 5359 5360 5361 5362 5363 5364 5365 5366 5367 5368 5369\n",
      "  5370 5371 5372 5373 5374 5375 5376 5377 5378 5379 5380 5381 5382 5383\n",
      "  5384 5385 5386 5387 5388 5389 5390 5391 5392 5393 5394 5395 5396 5397\n",
      "  5398 5399]\n",
      " [5400 5401 5402 5403 5404 5405 5406 5407 5408 5409 5410 5411 5412 5413\n",
      "  5414 5415 5416 5417 5418 5419 5420 5421 5422 5423 5424 5425 5426 5427\n",
      "  5428 5429 5430 5431 5432 5433 5434 5435 5436 5437 5438 5439 5440 5441\n",
      "  5442 5443 5444 5445 5446 5447 5448 5449 5450 5451 5452 5453 5454 5455\n",
      "  5456 5457 5458 5459 5460 5461 5462 5463 5464 5465 5466 5467 5468 5469\n",
      "  5470 5471 5472 5473 5474 5475 5476 5477 5478 5479 5480 5481 5482 5483\n",
      "  5484 5485 5486 5487 5488 5489 5490 5491 5492 5493 5494 5495 5496 5497\n",
      "  5498 5499]\n",
      " [5500 5501 5502 5503 5504 5505 5506 5507 5508 5509 5510 5511 5512 5513\n",
      "  5514 5515 5516 5517 5518 5519 5520 5521 5522 5523 5524 5525 5526 5527\n",
      "  5528 5529 5530 5531 5532 5533 5534 5535 5536 5537 5538 5539 5540 5541\n",
      "  5542 5543 5544 5545 5546 5547 5548 5549 5550 5551 5552 5553 5554 5555\n",
      "  5556 5557 5558 5559 5560 5561 5562 5563 5564 5565 5566 5567 5568 5569\n",
      "  5570 5571 5572 5573 5574 5575 5576 5577 5578 5579 5580 5581 5582 5583\n",
      "  5584 5585 5586 5587 5588 5589 5590 5591 5592 5593 5594 5595 5596 5597\n",
      "  5598 5599]\n",
      " [5600 5601 5602 5603 5604 5605 5606 5607 5608 5609 5610 5611 5612 5613\n",
      "  5614 5615 5616 5617 5618 5619 5620 5621 5622 5623 5624 5625 5626 5627\n",
      "  5628 5629 5630 5631 5632 5633 5634 5635 5636 5637 5638 5639 5640 5641\n",
      "  5642 5643 5644 5645 5646 5647 5648 5649 5650 5651 5652 5653 5654 5655\n",
      "  5656 5657 5658 5659 5660 5661 5662 5663 5664 5665 5666 5667 5668 5669\n",
      "  5670 5671 5672 5673 5674 5675 5676 5677 5678 5679 5680 5681 5682 5683\n",
      "  5684 5685 5686 5687 5688 5689 5690 5691 5692 5693 5694 5695 5696 5697\n",
      "  5698 5699]\n",
      " [5700 5701 5702 5703 5704 5705 5706 5707 5708 5709 5710 5711 5712 5713\n",
      "  5714 5715 5716 5717 5718 5719 5720 5721 5722 5723 5724 5725 5726 5727\n",
      "  5728 5729 5730 5731 5732 5733 5734 5735 5736 5737 5738 5739 5740 5741\n",
      "  5742 5743 5744 5745 5746 5747 5748 5749 5750 5751 5752 5753 5754 5755\n",
      "  5756 5757 5758 5759 5760 5761 5762 5763 5764 5765 5766 5767 5768 5769\n",
      "  5770 5771 5772 5773 5774 5775 5776 5777 5778 5779 5780 5781 5782 5783\n",
      "  5784 5785 5786 5787 5788 5789 5790 5791 5792 5793 5794 5795 5796 5797\n",
      "  5798 5799]\n",
      " [5800 5801 5802 5803 5804 5805 5806 5807 5808 5809 5810 5811 5812 5813\n",
      "  5814 5815 5816 5817 5818 5819 5820 5821 5822 5823 5824 5825 5826 5827\n",
      "  5828 5829 5830 5831 5832 5833 5834 5835 5836 5837 5838 5839 5840 5841\n",
      "  5842 5843 5844 5845 5846 5847 5848 5849 5850 5851 5852 5853 5854 5855\n",
      "  5856 5857 5858 5859 5860 5861 5862 5863 5864 5865 5866 5867 5868 5869\n",
      "  5870 5871 5872 5873 5874 5875 5876 5877 5878 5879 5880 5881 5882 5883\n",
      "  5884 5885 5886 5887 5888 5889 5890 5891 5892 5893 5894 5895 5896 5897\n",
      "  5898 5899]\n",
      " [5900 5901 5902 5903 5904 5905 5906 5907 5908 5909 5910 5911 5912 5913\n",
      "  5914 5915 5916 5917 5918 5919 5920 5921 5922 5923 5924 5925 5926 5927\n",
      "  5928 5929 5930 5931 5932 5933 5934 5935 5936 5937 5938 5939 5940 5941\n",
      "  5942 5943 5944 5945 5946 5947 5948 5949 5950 5951 5952 5953 5954 5955\n",
      "  5956 5957 5958 5959 5960 5961 5962 5963 5964 5965 5966 5967 5968 5969\n",
      "  5970 5971 5972 5973 5974 5975 5976 5977 5978 5979 5980 5981 5982 5983\n",
      "  5984 5985 5986 5987 5988 5989 5990 5991 5992 5993 5994 5995 5996 5997\n",
      "  5998 5999]\n",
      " [6000 6001 6002 6003 6004 6005 6006 6007 6008 6009 6010 6011 6012 6013\n",
      "  6014 6015 6016 6017 6018 6019 6020 6021 6022 6023 6024 6025 6026 6027\n",
      "  6028 6029 6030 6031 6032 6033 6034 6035 6036 6037 6038 6039 6040 6041\n",
      "  6042 6043 6044 6045 6046 6047 6048 6049 6050 6051 6052 6053 6054 6055\n",
      "  6056 6057 6058 6059 6060 6061 6062 6063 6064 6065 6066 6067 6068 6069\n",
      "  6070 6071 6072 6073 6074 6075 6076 6077 6078 6079 6080 6081 6082 6083\n",
      "  6084 6085 6086 6087 6088 6089 6090 6091 6092 6093 6094 6095 6096 6097\n",
      "  6098 6099]\n",
      " [6100 6101 6102 6103 6104 6105 6106 6107 6108 6109 6110 6111 6112 6113\n",
      "  6114 6115 6116 6117 6118 6119 6120 6121 6122 6123 6124 6125 6126 6127\n",
      "  6128 6129 6130 6131 6132 6133 6134 6135 6136 6137 6138 6139 6140 6141\n",
      "  6142 6143 6144 6145 6146 6147 6148 6149 6150 6151 6152 6153 6154 6155\n",
      "  6156 6157 6158 6159 6160 6161 6162 6163 6164 6165 6166 6167 6168 6169\n",
      "  6170 6171 6172 6173 6174 6175 6176 6177 6178 6179 6180 6181 6182 6183\n",
      "  6184 6185 6186 6187 6188 6189 6190 6191 6192 6193 6194 6195 6196 6197\n",
      "  6198 6199]\n",
      " [6200 6201 6202 6203 6204 6205 6206 6207 6208 6209 6210 6211 6212 6213\n",
      "  6214 6215 6216 6217 6218 6219 6220 6221 6222 6223 6224 6225 6226 6227\n",
      "  6228 6229 6230 6231 6232 6233 6234 6235 6236 6237 6238 6239 6240 6241\n",
      "  6242 6243 6244 6245 6246 6247 6248 6249 6250 6251 6252 6253 6254 6255\n",
      "  6256 6257 6258 6259 6260 6261 6262 6263 6264 6265 6266 6267 6268 6269\n",
      "  6270 6271 6272 6273 6274 6275 6276 6277 6278 6279 6280 6281 6282 6283\n",
      "  6284 6285 6286 6287 6288 6289 6290 6291 6292 6293 6294 6295 6296 6297\n",
      "  6298 6299]\n",
      " [6300 6301 6302 6303 6304 6305 6306 6307 6308 6309 6310 6311 6312 6313\n",
      "  6314 6315 6316 6317 6318 6319 6320 6321 6322 6323 6324 6325 6326 6327\n",
      "  6328 6329 6330 6331 6332 6333 6334 6335 6336 6337 6338 6339 6340 6341\n",
      "  6342 6343 6344 6345 6346 6347 6348 6349 6350 6351 6352 6353 6354 6355\n",
      "  6356 6357 6358 6359 6360 6361 6362 6363 6364 6365 6366 6367 6368 6369\n",
      "  6370 6371 6372 6373 6374 6375 6376 6377 6378 6379 6380 6381 6382 6383\n",
      "  6384 6385 6386 6387 6388 6389 6390 6391 6392 6393 6394 6395 6396 6397\n",
      "  6398 6399]\n",
      " [6400 6401 6402 6403 6404 6405 6406 6407 6408 6409 6410 6411 6412 6413\n",
      "  6414 6415 6416 6417 6418 6419 6420 6421 6422 6423 6424 6425 6426 6427\n",
      "  6428 6429 6430 6431 6432 6433 6434 6435 6436 6437 6438 6439 6440 6441\n",
      "  6442 6443 6444 6445 6446 6447 6448 6449 6450 6451 6452 6453 6454 6455\n",
      "  6456 6457 6458 6459 6460 6461 6462 6463 6464 6465 6466 6467 6468 6469\n",
      "  6470 6471 6472 6473 6474 6475 6476 6477 6478 6479 6480 6481 6482 6483\n",
      "  6484 6485 6486 6487 6488 6489 6490 6491 6492 6493 6494 6495 6496 6497\n",
      "  6498 6499]\n",
      " [6500 6501 6502 6503 6504 6505 6506 6507 6508 6509 6510 6511 6512 6513\n",
      "  6514 6515 6516 6517 6518 6519 6520 6521 6522 6523 6524 6525 6526 6527\n",
      "  6528 6529 6530 6531 6532 6533 6534 6535 6536 6537 6538 6539 6540 6541\n",
      "  6542 6543 6544 6545 6546 6547 6548 6549 6550 6551 6552 6553 6554 6555\n",
      "  6556 6557 6558 6559 6560 6561 6562 6563 6564 6565 6566 6567 6568 6569\n",
      "  6570 6571 6572 6573 6574 6575 6576 6577 6578 6579 6580 6581 6582 6583\n",
      "  6584 6585 6586 6587 6588 6589 6590 6591 6592 6593 6594 6595 6596 6597\n",
      "  6598 6599]\n",
      " [6600 6601 6602 6603 6604 6605 6606 6607 6608 6609 6610 6611 6612 6613\n",
      "  6614 6615 6616 6617 6618 6619 6620 6621 6622 6623 6624 6625 6626 6627\n",
      "  6628 6629 6630 6631 6632 6633 6634 6635 6636 6637 6638 6639 6640 6641\n",
      "  6642 6643 6644 6645 6646 6647 6648 6649 6650 6651 6652 6653 6654 6655\n",
      "  6656 6657 6658 6659 6660 6661 6662 6663 6664 6665 6666 6667 6668 6669\n",
      "  6670 6671 6672 6673 6674 6675 6676 6677 6678 6679 6680 6681 6682 6683\n",
      "  6684 6685 6686 6687 6688 6689 6690 6691 6692 6693 6694 6695 6696 6697\n",
      "  6698 6699]\n",
      " [6700 6701 6702 6703 6704 6705 6706 6707 6708 6709 6710 6711 6712 6713\n",
      "  6714 6715 6716 6717 6718 6719 6720 6721 6722 6723 6724 6725 6726 6727\n",
      "  6728 6729 6730 6731 6732 6733 6734 6735 6736 6737 6738 6739 6740 6741\n",
      "  6742 6743 6744 6745 6746 6747 6748 6749 6750 6751 6752 6753 6754 6755\n",
      "  6756 6757 6758 6759 6760 6761 6762 6763 6764 6765 6766 6767 6768 6769\n",
      "  6770 6771 6772 6773 6774 6775 6776 6777 6778 6779 6780 6781 6782 6783\n",
      "  6784 6785 6786 6787 6788 6789 6790 6791 6792 6793 6794 6795 6796 6797\n",
      "  6798 6799]\n",
      " [6800 6801 6802 6803 6804 6805 6806 6807 6808 6809 6810 6811 6812 6813\n",
      "  6814 6815 6816 6817 6818 6819 6820 6821 6822 6823 6824 6825 6826 6827\n",
      "  6828 6829 6830 6831 6832 6833 6834 6835 6836 6837 6838 6839 6840 6841\n",
      "  6842 6843 6844 6845 6846 6847 6848 6849 6850 6851 6852 6853 6854 6855\n",
      "  6856 6857 6858 6859 6860 6861 6862 6863 6864 6865 6866 6867 6868 6869\n",
      "  6870 6871 6872 6873 6874 6875 6876 6877 6878 6879 6880 6881 6882 6883\n",
      "  6884 6885 6886 6887 6888 6889 6890 6891 6892 6893 6894 6895 6896 6897\n",
      "  6898 6899]\n",
      " [6900 6901 6902 6903 6904 6905 6906 6907 6908 6909 6910 6911 6912 6913\n",
      "  6914 6915 6916 6917 6918 6919 6920 6921 6922 6923 6924 6925 6926 6927\n",
      "  6928 6929 6930 6931 6932 6933 6934 6935 6936 6937 6938 6939 6940 6941\n",
      "  6942 6943 6944 6945 6946 6947 6948 6949 6950 6951 6952 6953 6954 6955\n",
      "  6956 6957 6958 6959 6960 6961 6962 6963 6964 6965 6966 6967 6968 6969\n",
      "  6970 6971 6972 6973 6974 6975 6976 6977 6978 6979 6980 6981 6982 6983\n",
      "  6984 6985 6986 6987 6988 6989 6990 6991 6992 6993 6994 6995 6996 6997\n",
      "  6998 6999]\n",
      " [7000 7001 7002 7003 7004 7005 7006 7007 7008 7009 7010 7011 7012 7013\n",
      "  7014 7015 7016 7017 7018 7019 7020 7021 7022 7023 7024 7025 7026 7027\n",
      "  7028 7029 7030 7031 7032 7033 7034 7035 7036 7037 7038 7039 7040 7041\n",
      "  7042 7043 7044 7045 7046 7047 7048 7049 7050 7051 7052 7053 7054 7055\n",
      "  7056 7057 7058 7059 7060 7061 7062 7063 7064 7065 7066 7067 7068 7069\n",
      "  7070 7071 7072 7073 7074 7075 7076 7077 7078 7079 7080 7081 7082 7083\n",
      "  7084 7085 7086 7087 7088 7089 7090 7091 7092 7093 7094 7095 7096 7097\n",
      "  7098 7099]\n",
      " [7100 7101 7102 7103 7104 7105 7106 7107 7108 7109 7110 7111 7112 7113\n",
      "  7114 7115 7116 7117 7118 7119 7120 7121 7122 7123 7124 7125 7126 7127\n",
      "  7128 7129 7130 7131 7132 7133 7134 7135 7136 7137 7138 7139 7140 7141\n",
      "  7142 7143 7144 7145 7146 7147 7148 7149 7150 7151 7152 7153 7154 7155\n",
      "  7156 7157 7158 7159 7160 7161 7162 7163 7164 7165 7166 7167 7168 7169\n",
      "  7170 7171 7172 7173 7174 7175 7176 7177 7178 7179 7180 7181 7182 7183\n",
      "  7184 7185 7186 7187 7188 7189 7190 7191 7192 7193 7194 7195 7196 7197\n",
      "  7198 7199]\n",
      " [7200 7201 7202 7203 7204 7205 7206 7207 7208 7209 7210 7211 7212 7213\n",
      "  7214 7215 7216 7217 7218 7219 7220 7221 7222 7223 7224 7225 7226 7227\n",
      "  7228 7229 7230 7231 7232 7233 7234 7235 7236 7237 7238 7239 7240 7241\n",
      "  7242 7243 7244 7245 7246 7247 7248 7249 7250 7251 7252 7253 7254 7255\n",
      "  7256 7257 7258 7259 7260 7261 7262 7263 7264 7265 7266 7267 7268 7269\n",
      "  7270 7271 7272 7273 7274 7275 7276 7277 7278 7279 7280 7281 7282 7283\n",
      "  7284 7285 7286 7287 7288 7289 7290 7291 7292 7293 7294 7295 7296 7297\n",
      "  7298 7299]\n",
      " [7300 7301 7302 7303 7304 7305 7306 7307 7308 7309 7310 7311 7312 7313\n",
      "  7314 7315 7316 7317 7318 7319 7320 7321 7322 7323 7324 7325 7326 7327\n",
      "  7328 7329 7330 7331 7332 7333 7334 7335 7336 7337 7338 7339 7340 7341\n",
      "  7342 7343 7344 7345 7346 7347 7348 7349 7350 7351 7352 7353 7354 7355\n",
      "  7356 7357 7358 7359 7360 7361 7362 7363 7364 7365 7366 7367 7368 7369\n",
      "  7370 7371 7372 7373 7374 7375 7376 7377 7378 7379 7380 7381 7382 7383\n",
      "  7384 7385 7386 7387 7388 7389 7390 7391 7392 7393 7394 7395 7396 7397\n",
      "  7398 7399]\n",
      " [7400 7401 7402 7403 7404 7405 7406 7407 7408 7409 7410 7411 7412 7413\n",
      "  7414 7415 7416 7417 7418 7419 7420 7421 7422 7423 7424 7425 7426 7427\n",
      "  7428 7429 7430 7431 7432 7433 7434 7435 7436 7437 7438 7439 7440 7441\n",
      "  7442 7443 7444 7445 7446 7447 7448 7449 7450 7451 7452 7453 7454 7455\n",
      "  7456 7457 7458 7459 7460 7461 7462 7463 7464 7465 7466 7467 7468 7469\n",
      "  7470 7471 7472 7473 7474 7475 7476 7477 7478 7479 7480 7481 7482 7483\n",
      "  7484 7485 7486 7487 7488 7489 7490 7491 7492 7493 7494 7495 7496 7497\n",
      "  7498 7499]\n",
      " [7500 7501 7502 7503 7504 7505 7506 7507 7508 7509 7510 7511 7512 7513\n",
      "  7514 7515 7516 7517 7518 7519 7520 7521 7522 7523 7524 7525 7526 7527\n",
      "  7528 7529 7530 7531 7532 7533 7534 7535 7536 7537 7538 7539 7540 7541\n",
      "  7542 7543 7544 7545 7546 7547 7548 7549 7550 7551 7552 7553 7554 7555\n",
      "  7556 7557 7558 7559 7560 7561 7562 7563 7564 7565 7566 7567 7568 7569\n",
      "  7570 7571 7572 7573 7574 7575 7576 7577 7578 7579 7580 7581 7582 7583\n",
      "  7584 7585 7586 7587 7588 7589 7590 7591 7592 7593 7594 7595 7596 7597\n",
      "  7598 7599]\n",
      " [7600 7601 7602 7603 7604 7605 7606 7607 7608 7609 7610 7611 7612 7613\n",
      "  7614 7615 7616 7617 7618 7619 7620 7621 7622 7623 7624 7625 7626 7627\n",
      "  7628 7629 7630 7631 7632 7633 7634 7635 7636 7637 7638 7639 7640 7641\n",
      "  7642 7643 7644 7645 7646 7647 7648 7649 7650 7651 7652 7653 7654 7655\n",
      "  7656 7657 7658 7659 7660 7661 7662 7663 7664 7665 7666 7667 7668 7669\n",
      "  7670 7671 7672 7673 7674 7675 7676 7677 7678 7679 7680 7681 7682 7683\n",
      "  7684 7685 7686 7687 7688 7689 7690 7691 7692 7693 7694 7695 7696 7697\n",
      "  7698 7699]\n",
      " [7700 7701 7702 7703 7704 7705 7706 7707 7708 7709 7710 7711 7712 7713\n",
      "  7714 7715 7716 7717 7718 7719 7720 7721 7722 7723 7724 7725 7726 7727\n",
      "  7728 7729 7730 7731 7732 7733 7734 7735 7736 7737 7738 7739 7740 7741\n",
      "  7742 7743 7744 7745 7746 7747 7748 7749 7750 7751 7752 7753 7754 7755\n",
      "  7756 7757 7758 7759 7760 7761 7762 7763 7764 7765 7766 7767 7768 7769\n",
      "  7770 7771 7772 7773 7774 7775 7776 7777 7778 7779 7780 7781 7782 7783\n",
      "  7784 7785 7786 7787 7788 7789 7790 7791 7792 7793 7794 7795 7796 7797\n",
      "  7798 7799]\n",
      " [7800 7801 7802 7803 7804 7805 7806 7807 7808 7809 7810 7811 7812 7813\n",
      "  7814 7815 7816 7817 7818 7819 7820 7821 7822 7823 7824 7825 7826 7827\n",
      "  7828 7829 7830 7831 7832 7833 7834 7835 7836 7837 7838 7839 7840 7841\n",
      "  7842 7843 7844 7845 7846 7847 7848 7849 7850 7851 7852 7853 7854 7855\n",
      "  7856 7857 7858 7859 7860 7861 7862 7863 7864 7865 7866 7867 7868 7869\n",
      "  7870 7871 7872 7873 7874 7875 7876 7877 7878 7879 7880 7881 7882 7883\n",
      "  7884 7885 7886 7887 7888 7889 7890 7891 7892 7893 7894 7895 7896 7897\n",
      "  7898 7899]\n",
      " [7900 7901 7902 7903 7904 7905 7906 7907 7908 7909 7910 7911 7912 7913\n",
      "  7914 7915 7916 7917 7918 7919 7920 7921 7922 7923 7924 7925 7926 7927\n",
      "  7928 7929 7930 7931 7932 7933 7934 7935 7936 7937 7938 7939 7940 7941\n",
      "  7942 7943 7944 7945 7946 7947 7948 7949 7950 7951 7952 7953 7954 7955\n",
      "  7956 7957 7958 7959 7960 7961 7962 7963 7964 7965 7966 7967 7968 7969\n",
      "  7970 7971 7972 7973 7974 7975 7976 7977 7978 7979 7980 7981 7982 7983\n",
      "  7984 7985 7986 7987 7988 7989 7990 7991 7992 7993 7994 7995 7996 7997\n",
      "  7998 7999]\n",
      " [8000 8001 8002 8003 8004 8005 8006 8007 8008 8009 8010 8011 8012 8013\n",
      "  8014 8015 8016 8017 8018 8019 8020 8021 8022 8023 8024 8025 8026 8027\n",
      "  8028 8029 8030 8031 8032 8033 8034 8035 8036 8037 8038 8039 8040 8041\n",
      "  8042 8043 8044 8045 8046 8047 8048 8049 8050 8051 8052 8053 8054 8055\n",
      "  8056 8057 8058 8059 8060 8061 8062 8063 8064 8065 8066 8067 8068 8069\n",
      "  8070 8071 8072 8073 8074 8075 8076 8077 8078 8079 8080 8081 8082 8083\n",
      "  8084 8085 8086 8087 8088 8089 8090 8091 8092 8093 8094 8095 8096 8097\n",
      "  8098 8099]\n",
      " [8100 8101 8102 8103 8104 8105 8106 8107 8108 8109 8110 8111 8112 8113\n",
      "  8114 8115 8116 8117 8118 8119 8120 8121 8122 8123 8124 8125 8126 8127\n",
      "  8128 8129 8130 8131 8132 8133 8134 8135 8136 8137 8138 8139 8140 8141\n",
      "  8142 8143 8144 8145 8146 8147 8148 8149 8150 8151 8152 8153 8154 8155\n",
      "  8156 8157 8158 8159 8160 8161 8162 8163 8164 8165 8166 8167 8168 8169\n",
      "  8170 8171 8172 8173 8174 8175 8176 8177 8178 8179 8180 8181 8182 8183\n",
      "  8184 8185 8186 8187 8188 8189 8190 8191 8192 8193 8194 8195 8196 8197\n",
      "  8198 8199]\n",
      " [8200 8201 8202 8203 8204 8205 8206 8207 8208 8209 8210 8211 8212 8213\n",
      "  8214 8215 8216 8217 8218 8219 8220 8221 8222 8223 8224 8225 8226 8227\n",
      "  8228 8229 8230 8231 8232 8233 8234 8235 8236 8237 8238 8239 8240 8241\n",
      "  8242 8243 8244 8245 8246 8247 8248 8249 8250 8251 8252 8253 8254 8255\n",
      "  8256 8257 8258 8259 8260 8261 8262 8263 8264 8265 8266 8267 8268 8269\n",
      "  8270 8271 8272 8273 8274 8275 8276 8277 8278 8279 8280 8281 8282 8283\n",
      "  8284 8285 8286 8287 8288 8289 8290 8291 8292 8293 8294 8295 8296 8297\n",
      "  8298 8299]\n",
      " [8300 8301 8302 8303 8304 8305 8306 8307 8308 8309 8310 8311 8312 8313\n",
      "  8314 8315 8316 8317 8318 8319 8320 8321 8322 8323 8324 8325 8326 8327\n",
      "  8328 8329 8330 8331 8332 8333 8334 8335 8336 8337 8338 8339 8340 8341\n",
      "  8342 8343 8344 8345 8346 8347 8348 8349 8350 8351 8352 8353 8354 8355\n",
      "  8356 8357 8358 8359 8360 8361 8362 8363 8364 8365 8366 8367 8368 8369\n",
      "  8370 8371 8372 8373 8374 8375 8376 8377 8378 8379 8380 8381 8382 8383\n",
      "  8384 8385 8386 8387 8388 8389 8390 8391 8392 8393 8394 8395 8396 8397\n",
      "  8398 8399]\n",
      " [8400 8401 8402 8403 8404 8405 8406 8407 8408 8409 8410 8411 8412 8413\n",
      "  8414 8415 8416 8417 8418 8419 8420 8421 8422 8423 8424 8425 8426 8427\n",
      "  8428 8429 8430 8431 8432 8433 8434 8435 8436 8437 8438 8439 8440 8441\n",
      "  8442 8443 8444 8445 8446 8447 8448 8449 8450 8451 8452 8453 8454 8455\n",
      "  8456 8457 8458 8459 8460 8461 8462 8463 8464 8465 8466 8467 8468 8469\n",
      "  8470 8471 8472 8473 8474 8475 8476 8477 8478 8479 8480 8481 8482 8483\n",
      "  8484 8485 8486 8487 8488 8489 8490 8491 8492 8493 8494 8495 8496 8497\n",
      "  8498 8499]\n",
      " [8500 8501 8502 8503 8504 8505 8506 8507 8508 8509 8510 8511 8512 8513\n",
      "  8514 8515 8516 8517 8518 8519 8520 8521 8522 8523 8524 8525 8526 8527\n",
      "  8528 8529 8530 8531 8532 8533 8534 8535 8536 8537 8538 8539 8540 8541\n",
      "  8542 8543 8544 8545 8546 8547 8548 8549 8550 8551 8552 8553 8554 8555\n",
      "  8556 8557 8558 8559 8560 8561 8562 8563 8564 8565 8566 8567 8568 8569\n",
      "  8570 8571 8572 8573 8574 8575 8576 8577 8578 8579 8580 8581 8582 8583\n",
      "  8584 8585 8586 8587 8588 8589 8590 8591 8592 8593 8594 8595 8596 8597\n",
      "  8598 8599]\n",
      " [8600 8601 8602 8603 8604 8605 8606 8607 8608 8609 8610 8611 8612 8613\n",
      "  8614 8615 8616 8617 8618 8619 8620 8621 8622 8623 8624 8625 8626 8627\n",
      "  8628 8629 8630 8631 8632 8633 8634 8635 8636 8637 8638 8639 8640 8641\n",
      "  8642 8643 8644 8645 8646 8647 8648 8649 8650 8651 8652 8653 8654 8655\n",
      "  8656 8657 8658 8659 8660 8661 8662 8663 8664 8665 8666 8667 8668 8669\n",
      "  8670 8671 8672 8673 8674 8675 8676 8677 8678 8679 8680 8681 8682 8683\n",
      "  8684 8685 8686 8687 8688 8689 8690 8691 8692 8693 8694 8695 8696 8697\n",
      "  8698 8699]\n",
      " [8700 8701 8702 8703 8704 8705 8706 8707 8708 8709 8710 8711 8712 8713\n",
      "  8714 8715 8716 8717 8718 8719 8720 8721 8722 8723 8724 8725 8726 8727\n",
      "  8728 8729 8730 8731 8732 8733 8734 8735 8736 8737 8738 8739 8740 8741\n",
      "  8742 8743 8744 8745 8746 8747 8748 8749 8750 8751 8752 8753 8754 8755\n",
      "  8756 8757 8758 8759 8760 8761 8762 8763 8764 8765 8766 8767 8768 8769\n",
      "  8770 8771 8772 8773 8774 8775 8776 8777 8778 8779 8780 8781 8782 8783\n",
      "  8784 8785 8786 8787 8788 8789 8790 8791 8792 8793 8794 8795 8796 8797\n",
      "  8798 8799]\n",
      " [8800 8801 8802 8803 8804 8805 8806 8807 8808 8809 8810 8811 8812 8813\n",
      "  8814 8815 8816 8817 8818 8819 8820 8821 8822 8823 8824 8825 8826 8827\n",
      "  8828 8829 8830 8831 8832 8833 8834 8835 8836 8837 8838 8839 8840 8841\n",
      "  8842 8843 8844 8845 8846 8847 8848 8849 8850 8851 8852 8853 8854 8855\n",
      "  8856 8857 8858 8859 8860 8861 8862 8863 8864 8865 8866 8867 8868 8869\n",
      "  8870 8871 8872 8873 8874 8875 8876 8877 8878 8879 8880 8881 8882 8883\n",
      "  8884 8885 8886 8887 8888 8889 8890 8891 8892 8893 8894 8895 8896 8897\n",
      "  8898 8899]\n",
      " [8900 8901 8902 8903 8904 8905 8906 8907 8908 8909 8910 8911 8912 8913\n",
      "  8914 8915 8916 8917 8918 8919 8920 8921 8922 8923 8924 8925 8926 8927\n",
      "  8928 8929 8930 8931 8932 8933 8934 8935 8936 8937 8938 8939 8940 8941\n",
      "  8942 8943 8944 8945 8946 8947 8948 8949 8950 8951 8952 8953 8954 8955\n",
      "  8956 8957 8958 8959 8960 8961 8962 8963 8964 8965 8966 8967 8968 8969\n",
      "  8970 8971 8972 8973 8974 8975 8976 8977 8978 8979 8980 8981 8982 8983\n",
      "  8984 8985 8986 8987 8988 8989 8990 8991 8992 8993 8994 8995 8996 8997\n",
      "  8998 8999]\n",
      " [9000 9001 9002 9003 9004 9005 9006 9007 9008 9009 9010 9011 9012 9013\n",
      "  9014 9015 9016 9017 9018 9019 9020 9021 9022 9023 9024 9025 9026 9027\n",
      "  9028 9029 9030 9031 9032 9033 9034 9035 9036 9037 9038 9039 9040 9041\n",
      "  9042 9043 9044 9045 9046 9047 9048 9049 9050 9051 9052 9053 9054 9055\n",
      "  9056 9057 9058 9059 9060 9061 9062 9063 9064 9065 9066 9067 9068 9069\n",
      "  9070 9071 9072 9073 9074 9075 9076 9077 9078 9079 9080 9081 9082 9083\n",
      "  9084 9085 9086 9087 9088 9089 9090 9091 9092 9093 9094 9095 9096 9097\n",
      "  9098 9099]\n",
      " [9100 9101 9102 9103 9104 9105 9106 9107 9108 9109 9110 9111 9112 9113\n",
      "  9114 9115 9116 9117 9118 9119 9120 9121 9122 9123 9124 9125 9126 9127\n",
      "  9128 9129 9130 9131 9132 9133 9134 9135 9136 9137 9138 9139 9140 9141\n",
      "  9142 9143 9144 9145 9146 9147 9148 9149 9150 9151 9152 9153 9154 9155\n",
      "  9156 9157 9158 9159 9160 9161 9162 9163 9164 9165 9166 9167 9168 9169\n",
      "  9170 9171 9172 9173 9174 9175 9176 9177 9178 9179 9180 9181 9182 9183\n",
      "  9184 9185 9186 9187 9188 9189 9190 9191 9192 9193 9194 9195 9196 9197\n",
      "  9198 9199]\n",
      " [9200 9201 9202 9203 9204 9205 9206 9207 9208 9209 9210 9211 9212 9213\n",
      "  9214 9215 9216 9217 9218 9219 9220 9221 9222 9223 9224 9225 9226 9227\n",
      "  9228 9229 9230 9231 9232 9233 9234 9235 9236 9237 9238 9239 9240 9241\n",
      "  9242 9243 9244 9245 9246 9247 9248 9249 9250 9251 9252 9253 9254 9255\n",
      "  9256 9257 9258 9259 9260 9261 9262 9263 9264 9265 9266 9267 9268 9269\n",
      "  9270 9271 9272 9273 9274 9275 9276 9277 9278 9279 9280 9281 9282 9283\n",
      "  9284 9285 9286 9287 9288 9289 9290 9291 9292 9293 9294 9295 9296 9297\n",
      "  9298 9299]\n",
      " [9300 9301 9302 9303 9304 9305 9306 9307 9308 9309 9310 9311 9312 9313\n",
      "  9314 9315 9316 9317 9318 9319 9320 9321 9322 9323 9324 9325 9326 9327\n",
      "  9328 9329 9330 9331 9332 9333 9334 9335 9336 9337 9338 9339 9340 9341\n",
      "  9342 9343 9344 9345 9346 9347 9348 9349 9350 9351 9352 9353 9354 9355\n",
      "  9356 9357 9358 9359 9360 9361 9362 9363 9364 9365 9366 9367 9368 9369\n",
      "  9370 9371 9372 9373 9374 9375 9376 9377 9378 9379 9380 9381 9382 9383\n",
      "  9384 9385 9386 9387 9388 9389 9390 9391 9392 9393 9394 9395 9396 9397\n",
      "  9398 9399]\n",
      " [9400 9401 9402 9403 9404 9405 9406 9407 9408 9409 9410 9411 9412 9413\n",
      "  9414 9415 9416 9417 9418 9419 9420 9421 9422 9423 9424 9425 9426 9427\n",
      "  9428 9429 9430 9431 9432 9433 9434 9435 9436 9437 9438 9439 9440 9441\n",
      "  9442 9443 9444 9445 9446 9447 9448 9449 9450 9451 9452 9453 9454 9455\n",
      "  9456 9457 9458 9459 9460 9461 9462 9463 9464 9465 9466 9467 9468 9469\n",
      "  9470 9471 9472 9473 9474 9475 9476 9477 9478 9479 9480 9481 9482 9483\n",
      "  9484 9485 9486 9487 9488 9489 9490 9491 9492 9493 9494 9495 9496 9497\n",
      "  9498 9499]\n",
      " [9500 9501 9502 9503 9504 9505 9506 9507 9508 9509 9510 9511 9512 9513\n",
      "  9514 9515 9516 9517 9518 9519 9520 9521 9522 9523 9524 9525 9526 9527\n",
      "  9528 9529 9530 9531 9532 9533 9534 9535 9536 9537 9538 9539 9540 9541\n",
      "  9542 9543 9544 9545 9546 9547 9548 9549 9550 9551 9552 9553 9554 9555\n",
      "  9556 9557 9558 9559 9560 9561 9562 9563 9564 9565 9566 9567 9568 9569\n",
      "  9570 9571 9572 9573 9574 9575 9576 9577 9578 9579 9580 9581 9582 9583\n",
      "  9584 9585 9586 9587 9588 9589 9590 9591 9592 9593 9594 9595 9596 9597\n",
      "  9598 9599]\n",
      " [9600 9601 9602 9603 9604 9605 9606 9607 9608 9609 9610 9611 9612 9613\n",
      "  9614 9615 9616 9617 9618 9619 9620 9621 9622 9623 9624 9625 9626 9627\n",
      "  9628 9629 9630 9631 9632 9633 9634 9635 9636 9637 9638 9639 9640 9641\n",
      "  9642 9643 9644 9645 9646 9647 9648 9649 9650 9651 9652 9653 9654 9655\n",
      "  9656 9657 9658 9659 9660 9661 9662 9663 9664 9665 9666 9667 9668 9669\n",
      "  9670 9671 9672 9673 9674 9675 9676 9677 9678 9679 9680 9681 9682 9683\n",
      "  9684 9685 9686 9687 9688 9689 9690 9691 9692 9693 9694 9695 9696 9697\n",
      "  9698 9699]\n",
      " [9700 9701 9702 9703 9704 9705 9706 9707 9708 9709 9710 9711 9712 9713\n",
      "  9714 9715 9716 9717 9718 9719 9720 9721 9722 9723 9724 9725 9726 9727\n",
      "  9728 9729 9730 9731 9732 9733 9734 9735 9736 9737 9738 9739 9740 9741\n",
      "  9742 9743 9744 9745 9746 9747 9748 9749 9750 9751 9752 9753 9754 9755\n",
      "  9756 9757 9758 9759 9760 9761 9762 9763 9764 9765 9766 9767 9768 9769\n",
      "  9770 9771 9772 9773 9774 9775 9776 9777 9778 9779 9780 9781 9782 9783\n",
      "  9784 9785 9786 9787 9788 9789 9790 9791 9792 9793 9794 9795 9796 9797\n",
      "  9798 9799]\n",
      " [9800 9801 9802 9803 9804 9805 9806 9807 9808 9809 9810 9811 9812 9813\n",
      "  9814 9815 9816 9817 9818 9819 9820 9821 9822 9823 9824 9825 9826 9827\n",
      "  9828 9829 9830 9831 9832 9833 9834 9835 9836 9837 9838 9839 9840 9841\n",
      "  9842 9843 9844 9845 9846 9847 9848 9849 9850 9851 9852 9853 9854 9855\n",
      "  9856 9857 9858 9859 9860 9861 9862 9863 9864 9865 9866 9867 9868 9869\n",
      "  9870 9871 9872 9873 9874 9875 9876 9877 9878 9879 9880 9881 9882 9883\n",
      "  9884 9885 9886 9887 9888 9889 9890 9891 9892 9893 9894 9895 9896 9897\n",
      "  9898 9899]\n",
      " [9900 9901 9902 9903 9904 9905 9906 9907 9908 9909 9910 9911 9912 9913\n",
      "  9914 9915 9916 9917 9918 9919 9920 9921 9922 9923 9924 9925 9926 9927\n",
      "  9928 9929 9930 9931 9932 9933 9934 9935 9936 9937 9938 9939 9940 9941\n",
      "  9942 9943 9944 9945 9946 9947 9948 9949 9950 9951 9952 9953 9954 9955\n",
      "  9956 9957 9958 9959 9960 9961 9962 9963 9964 9965 9966 9967 9968 9969\n",
      "  9970 9971 9972 9973 9974 9975 9976 9977 9978 9979 9980 9981 9982 9983\n",
      "  9984 9985 9986 9987 9988 9989 9990 9991 9992 9993 9994 9995 9996 9997\n",
      "  9998 9999]]\n"
     ]
    }
   ],
   "execution_count": 21
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# Basic operations",
   "id": "ba1dd903524032cd"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:43:38.813565Z",
     "start_time": "2024-09-27T14:43:38.809514Z"
    }
   },
   "cell_type": "code",
   "source": [
    "a = np.array([20, 30, 40, 50])\n",
    "b = np.arange(4)\n",
    "b"
   ],
   "id": "13505d9e790395b1",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 22
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:43:53.775597Z",
     "start_time": "2024-09-27T14:43:53.771217Z"
    }
   },
   "cell_type": "code",
   "source": [
    "c = a - b\n",
    "c"
   ],
   "id": "5f2880847303b771",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([20, 29, 38, 47])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 23
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:44:16.034187Z",
     "start_time": "2024-09-27T14:44:16.030391Z"
    }
   },
   "cell_type": "code",
   "source": "b**2",
   "id": "fd65671a0355fe80",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 4, 9])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 24
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:44:27.747155Z",
     "start_time": "2024-09-27T14:44:27.743629Z"
    }
   },
   "cell_type": "code",
   "source": "10 * np.sin(a)",
   "id": "8a60e27e56ac43",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 9.12945251, -9.88031624,  7.4511316 , -2.62374854])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 25
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:45:08.976463Z",
     "start_time": "2024-09-27T14:45:08.972397Z"
    }
   },
   "cell_type": "code",
   "source": [
    "A = np.array([[1, 1],\n",
    "              [0, 1]])\n",
    "B = np.array([[2, 0],\n",
    "              [3, 4]])\n",
    "A * B     # elementwise product"
   ],
   "id": "a4090d5f7f9cdc04",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2, 0],\n",
       "       [0, 4]])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 26
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:45:22.909094Z",
     "start_time": "2024-09-27T14:45:22.905282Z"
    }
   },
   "cell_type": "code",
   "source": "A @ B     # matrix product",
   "id": "71a2c2ca8054268a",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5, 4],\n",
       "       [3, 4]])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 27
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:45:33.403756Z",
     "start_time": "2024-09-27T14:45:33.401081Z"
    }
   },
   "cell_type": "code",
   "source": "A.dot(B)  # another matrix product",
   "id": "f910e87a56a2e0ce",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5, 4],\n",
       "       [3, 4]])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 28
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# Indexing, Slicing and Iterating",
   "id": "33b1a833ba7235b3"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:52:33.945285Z",
     "start_time": "2024-09-27T14:52:33.942297Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def f(x, y):\n",
    "    return 10 * x + y\n",
    "\n",
    "b = np.fromfunction(f, (5, 4), dtype=int)\n",
    "b"
   ],
   "id": "bf2cecf8c4fad93",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0,  1,  2,  3],\n",
       "       [10, 11, 12, 13],\n",
       "       [20, 21, 22, 23],\n",
       "       [30, 31, 32, 33],\n",
       "       [40, 41, 42, 43]])"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 29
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:53:13.505297Z",
     "start_time": "2024-09-27T14:53:13.500878Z"
    }
   },
   "cell_type": "code",
   "source": "b[1:3, :]",
   "id": "b242f34c21bf2ecc",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[10, 11, 12, 13],\n",
       "       [20, 21, 22, 23]])"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 30
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:54:20.417568Z",
     "start_time": "2024-09-27T14:54:20.414423Z"
    }
   },
   "cell_type": "code",
   "source": [
    "c = np.array([[[  0,  1,  2],  # a 3D array (two stacked 2D arrays)\n",
    "               [ 10, 12, 13]],\n",
    "              [[100, 101, 102],\n",
    "               [110, 112, 113]]])\n",
    "c.shape"
   ],
   "id": "f4c864d6b1d61b3e",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 2, 3)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 31
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:54:59.904207Z",
     "start_time": "2024-09-27T14:54:59.900919Z"
    }
   },
   "cell_type": "code",
   "source": "c[1, ...]  # same as c[1, :, :] or c[1]",
   "id": "680be734d2927376",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[100, 101, 102],\n",
       "       [110, 112, 113]])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 32
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:55:28.838706Z",
     "start_time": "2024-09-27T14:55:28.836207Z"
    }
   },
   "cell_type": "code",
   "source": "c[..., 2]  # same as c[:, :, 2]",
   "id": "fc6959188c3e3337",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[  2,  13],\n",
       "       [102, 113]])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 33
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T14:56:51.537293Z",
     "start_time": "2024-09-27T14:56:51.534809Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# However, if one wants to perform an operation on each element in the array, one can use the flat attribute which is an iterator over all the elements of the array:\n",
    "\n",
    "for element in b.flat:\n",
    "    print(element)"
   ],
   "id": "dac4944265e37fd",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "1\n",
      "2\n",
      "3\n",
      "10\n",
      "11\n",
      "12\n",
      "13\n",
      "20\n",
      "21\n",
      "22\n",
      "23\n",
      "30\n",
      "31\n",
      "32\n",
      "33\n",
      "40\n",
      "41\n",
      "42\n",
      "43\n"
     ]
    }
   ],
   "execution_count": 34
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# Deep Copy",
   "id": "f1f09e5476bd324e"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T15:12:55.471176Z",
     "start_time": "2024-09-27T15:12:55.468022Z"
    }
   },
   "cell_type": "code",
   "source": [
    "a = np.array([[ 0,  1,  2,  3],\n",
    "              [ 4,  5,  6,  7],\n",
    "              [ 8,  9, 10, 11]])\n",
    "\n",
    "d = a.copy()\n",
    "d is a"
   ],
   "id": "4d25c8c936fa2a2c",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 36
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T15:13:03.505671Z",
     "start_time": "2024-09-27T15:13:03.502086Z"
    }
   },
   "cell_type": "code",
   "source": "d.base is a",
   "id": "45053b6c49f5b149",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 37
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T15:13:18.535660Z",
     "start_time": "2024-09-27T15:13:18.532728Z"
    }
   },
   "cell_type": "code",
   "source": [
    "d[0, 0] = 9999\n",
    "a"
   ],
   "id": "7407259c46e3deb8",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0,  1,  2,  3],\n",
       "       [ 4,  5,  6,  7],\n",
       "       [ 8,  9, 10, 11]])"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 38
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-27T15:13:44.399509Z",
     "start_time": "2024-09-27T15:13:44.301111Z"
    }
   },
   "cell_type": "code",
   "source": [
    "a = np.arange(int(1e8))\n",
    "b = a[:100].copy()\n",
    "del a  # the memory of ``a`` can be released.\n",
    "\n",
    "# If b = a[:100] is used instead, a is referenced by b and will persist in memory even if del a is executed."
   ],
   "id": "72812e4501f40ebb",
   "outputs": [],
   "execution_count": 39
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-28T05:56:32.169291Z",
     "start_time": "2024-09-28T05:56:23.182372Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "rg = np.random.default_rng(1)\n",
    "import matplotlib.pyplot as plt\n",
    "# Build a vector of 10000 normal deviates with variance 0.5^2 and mean 2\n",
    "mu, sigma = 2, 0.5\n",
    "v = rg.normal(mu, sigma, 10000)\n",
    "# Plot a normalized histogram with 50 bins\n",
    "plt.hist(v, bins=50, density=True)       # matplotlib version (plot)"
   ],
   "id": "7b5c181e53760677",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0.00128706, 0.00257412, 0.00257412, 0.00257412, 0.00772237,\n",
       "        0.00900943, 0.01415767, 0.03861183, 0.04247301, 0.03989889,\n",
       "        0.05663068, 0.08623308, 0.13900258, 0.16088261, 0.24454157,\n",
       "        0.30117225, 0.34750645, 0.41700774, 0.51997261, 0.60234451,\n",
       "        0.68214229, 0.69501289, 0.78768128, 0.73619884, 0.79540365,\n",
       "        0.78896834, 0.72976354, 0.7014482 , 0.69501289, 0.60749275,\n",
       "        0.57660329, 0.4478972 , 0.39126652, 0.28186634, 0.24196745,\n",
       "        0.20592975, 0.13385434, 0.10425193, 0.07851072, 0.04762125,\n",
       "        0.0296024 , 0.03217652, 0.01029649, 0.00900943, 0.0064353 ,\n",
       "        0.00772237, 0.00514824, 0.00128706, 0.00257412, 0.00128706]),\n",
       " array([0.08106893, 0.15876533, 0.23646173, 0.31415813, 0.39185453,\n",
       "        0.46955093, 0.54724733, 0.62494373, 0.70264013, 0.78033653,\n",
       "        0.85803293, 0.93572933, 1.01342573, 1.09112213, 1.16881853,\n",
       "        1.24651493, 1.32421133, 1.40190773, 1.47960413, 1.55730053,\n",
       "        1.63499693, 1.71269333, 1.79038973, 1.86808613, 1.94578253,\n",
       "        2.02347893, 2.10117533, 2.17887173, 2.25656814, 2.33426454,\n",
       "        2.41196094, 2.48965734, 2.56735374, 2.64505014, 2.72274654,\n",
       "        2.80044294, 2.87813934, 2.95583574, 3.03353214, 3.11122854,\n",
       "        3.18892494, 3.26662134, 3.34431774, 3.42201414, 3.49971054,\n",
       "        3.57740694, 3.65510334, 3.73279974, 3.81049614, 3.88819254,\n",
       "        3.96588894]),\n",
       " <BarContainer object of 50 artists>)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 1
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-28T05:57:09.379743Z",
     "start_time": "2024-09-28T05:57:09.310101Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# Compute the histogram with numpy and then plot it\n",
    "(n, bins) = np.histogram(v, bins=50, density=True)  # NumPy version (no plot)\n",
    "plt.plot(.5 * (bins[1:] + bins[:-1]), n) "
   ],
   "id": "acf789a06065cb11",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x269fd7b7050>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 2
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# How to access the docstring for more information",
   "id": "1bf412f7ddc1dc27"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-28T14:48:57.862943Z",
     "start_time": "2024-09-28T14:48:57.859609Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "\n",
    "a = np.array([1, 2, 3, 4, 5, 6])\n",
    "a?"
   ],
   "id": "6f6a58670db7f6d7",
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-28T14:49:33.984086Z",
     "start_time": "2024-09-28T14:49:33.981980Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def double(a):\n",
    "  '''Return a * 2'''\n",
    "  return a * 2\n",
    "\n",
    "help(double)"
   ],
   "id": "6b31a83b94340c38",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function double in module __main__:\n",
      "\n",
      "double(a)\n",
      "    Return a * 2\n",
      "\n"
     ]
    }
   ],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-28T14:49:55.762408Z",
     "start_time": "2024-09-28T14:49:55.740491Z"
    }
   },
   "cell_type": "code",
   "source": "double?",
   "id": "4aec3bdc8e4f0d70",
   "outputs": [],
   "execution_count": 4
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "You can reach another level of information by reading the source code of the object you’re interested in. Using a double question mark (??) allows you to access the source code.",
   "id": "498212cd9b4f7a33"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-09-28T14:51:23.211703Z",
     "start_time": "2024-09-28T14:51:23.208547Z"
    }
   },
   "cell_type": "code",
   "source": "double??",
   "id": "2709b80ed0b393cb",
   "outputs": [],
   "execution_count": 7
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
